10355250440 has 64 divisors (see below), whose sum is σ = 24346656000. Its totient is φ = 3956415232.

The previous prime is 10355250407. The next prime is 10355250449. The reversal of 10355250440 is 4405255301.

It is a super-3 number, since 3×10355250440³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355250449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675986 + ... + 691134.

It is an arithmetic number, because the mean of its divisors is an integer number (380416500).

Almost surely, 2^10355250440 is an apocalyptic number.

10355250440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173328000).

10355250440 is an abundant number, since it is smaller than the sum of its proper divisors (13991405560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10355250440 is a wasteful number, since it uses less digits than its factorization.

10355250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926 (or 15922 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 10355250440 in words is "ten billion, three hundred fifty-five million, two hundred fifty thousand, four hundred forty".